On dense free subgroups of Lie groups

Details On dense free subgroups of Lie groups On dense free subgroups of Lie groups

2002-06-23

arxiv.org/abs/math/0206236v2

Mathematics

Group Theory

21 pages, amscd

Scientific paper

We give a method for constructing dense and free subgroups in real Lie groups. In particular we show that any dense subgroup of a connected semisimple real Lie group G contains a free group on two generators which is still dense in G, and that any finitely generated dense subgroup in a connected non-solvable Lie group H contains a dense free subgroup of rank < 2 dim(H). This answer a question of Carriere and Ghys, and it gives an elementary proof of a conjecture of Connes and Sullivan on amenable actions, which was first proved by Zimmer.

Affiliated with

Also associated with

No associations

Rating

On dense free subgroups of Lie groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On dense free subgroups of Lie groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On dense free subgroups of Lie groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-231939